Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents
Abstract
Based on dynamical renormalization group (RG) calculations to the one-loop order, the surface growth described by a nonlinear stochastic conserved growth equation, {\partial h \over \partial t} = \pm \nu_2 \nabla^2 h + \lambda\nabla \cdot (\nabla h)^3 + \eta, is studied analytically. The universality class of the growth described by the above equation with +{\nu_2} (diffusion) is shown to be the same as that described by the Edwards-Wilkinson (EW) equation (i.e. +\nu_2 and \lambda=0). In contrast our RG recursion relations manifest that the growth described by the above equation with {-\nu_2}(anti-diffusion) is an unstable growth and do not reproduce the recent results from a numerical simulation by J. M. Kim [Phys. Rev. E 52, 6267 (1995)].
Cite
@article{arxiv.cond-mat/9609149,
title = {Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents},
author = {Youngkyun Jung and In-mook Kim and Yup Kim},
journal= {arXiv preprint arXiv:cond-mat/9609149},
year = {2016}
}
Comments
10 pages, REVTEX, Submitted to Physical Review E